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Finding the Third Proportional to 98,076 and 152,136

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Solution

The third proportional to 98,076 and 152,136 is: 235,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076 : 152,136 = 152,136 : x
  2. Step 2: Convert to fraction form
    98,076/152,136 = 152,136/x
  3. Step 3: Cross multiply
    98,076x = 152,136 × 152,136
  4. Step 4: Simplify right side
    98,076x = 23,145,362,496
  5. Step 5: Solve for x
    x = 23,145,362,496/98,076
  6. Step 6: Final answer
    x = 235,994.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.